{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import time\n",
    "import math\n",
    "import random\n",
    "from IPython.display import clear_output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#define hyper-parameters\n",
    "ALPHA = 0.1\n",
    "GAMMA = 0.95\n",
    "N_STATE = 20\n",
    "ACTIONS = [0,1]#0代表向左，1代表向右\n",
    "MAX_EPISODES = 300\n",
    "MAX_TIMESTEP = 50\n",
    "\n",
    "epsilon_start = 1.0\n",
    "epsilon_final = 0.01\n",
    "#降低减少时的速率\n",
    "epsilon_decay = 50"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7faa13d87710>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "epsilon_by_frame = lambda frame_idx:epsilon_final + (epsilon_start - epsilon_final)*math.exp(-frame_idx/epsilon_decay)\n",
    "plt.plot([epsilon_by_frame(i) for i in range(500)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_reward(frame_idx, rewards):\n",
    "    clear_output(True)\n",
    "    plt.figure(figsize=(20,5))\n",
    "    plt.title('frame %s. mean_reward: %s'%(frame_idx, np.mean(rewards[-10:])))\n",
    "    plt.plot(rewards)\n",
    "    plt.xlabel('epoch')\n",
    "    plt.ylabel('reward')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "class QL_environment():\n",
    "    \"\"\"\n",
    "    环境形状(以state=20,action=2为例)：\n",
    "    x [-]*18 o\n",
    "    位置0为陷阱，位置o为奖励值为1的位置其余位置每动一次奖励值-0.5\n",
    "    \"\"\"\n",
    "    def __init__(self):\n",
    "        self.state = np.random.choice(10)\n",
    "        self.timestep = 0\n",
    "    \n",
    "    def reset(self):\n",
    "        self.state = np.random.choice(10)\n",
    "        return np.array(self.state)\n",
    "    \n",
    "    def step(self, action):\n",
    "        if action == 1 :\n",
    "            if self.state == N_STATE-1:\n",
    "                reward = 1\n",
    "            else:\n",
    "                reward = -0.5\n",
    "            next_state = self.state + 1\n",
    "        else:\n",
    "            if self.state == 0:\n",
    "                next_state = 0\n",
    "            else:\n",
    "                next_state = self.state - 1\n",
    "            reward = -0.5\n",
    "        done = bool(self.state == (N_STATE-1))if (self.timestep < MAX_TIMESTEP) else True\n",
    "        if not done:\n",
    "            self.timestep += 1\n",
    "            self.state = next_state \n",
    "        else:\n",
    "            self.timestep = 0\n",
    "        return self.state, reward, done"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Q_learning():\n",
    "    def __init__(self, n_state, actions):\n",
    "        self.qtable = pd.DataFrame(\n",
    "            data = np.zeros((n_state, len(actions))),\n",
    "            index = np.arange(n_state),\n",
    "            columns = actions,\n",
    "            )\n",
    "        \n",
    "    def choose_action(self, state, epsilon):\n",
    "        #epsilion - greedy policy\n",
    "        '''\n",
    "        np.random.choice(a,size=None,replace=True,p=None)\n",
    "            a:一维数组(表示在其中选一个)或者int数(表示在[0,i-1]中选一个)\n",
    "            p:对a中的每个数设置权重，即被选中的概率\n",
    "        '''\n",
    "        if random.random() > epsilon:\n",
    "            action = self.qtable.loc[state,:].idxmax()\n",
    "        else:\n",
    "            action = np.random.choice(ACTIONS)\n",
    "        return action\n",
    "    \n",
    "    def update_Q_table(self, state, action, reward, next_state):\n",
    "        current_Q = self.qtable.iloc[state,action]\n",
    "        next_Q = self.qtable.iloc[next_state,:].max()\n",
    "        DELTA = reward + GAMMA*next_Q - current_Q\n",
    "        current_Q += ALPHA*DELTA\n",
    "        self.qtable.iloc[state,action] = current_Q"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "           0          1\n",
      "0  -5.531485  -5.505859\n",
      "1  -5.405919  -5.057098\n",
      "2  -5.215117  -4.306431\n",
      "3  -5.026214  -3.120056\n",
      "4  -4.816274  -2.166868\n",
      "5  -4.578955  -1.206903\n",
      "6  -4.397062  -0.239668\n",
      "7  -3.906822   0.692249\n",
      "8  -3.553932   1.567057\n",
      "9  -3.422475   2.459404\n",
      "10 -3.299557   3.395716\n",
      "11 -2.473266   4.382494\n",
      "12 -2.180366   5.423420\n",
      "13 -2.340431   6.523720\n",
      "14 -0.735434   7.687714\n",
      "15  0.411478   8.910918\n",
      "16  0.535379  10.187727\n",
      "17 -0.270819  11.537768\n",
      "18  2.156448  12.957094\n",
      "19  2.112385  14.457079\n"
     ]
    }
   ],
   "source": [
    "all_rewards = []\n",
    "q_learning = Q_learning(N_STATE,ACTIONS)\n",
    "ql_environment = QL_environment()\n",
    "for episode in range(1+MAX_EPISODES):\n",
    "    episode_rewards = 0\n",
    "    done = False\n",
    "    ql_environment.reset()\n",
    "    epsilon = epsilon_by_frame(episode)\n",
    "    while not done:\n",
    "        state = ql_environment.state\n",
    "        action = q_learning.choose_action(state, epsilon)\n",
    "        next_state, reward, done = ql_environment.step(action)\n",
    "        episode_rewards += reward\n",
    "        q_learning.update_Q_table(state,action,reward,next_state)\n",
    "    all_rewards.append(episode_rewards)\n",
    "    plot_reward(episode,all_rewards)\n",
    "print(q_learning.qtable)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Q_learning:主要是 Q = Q + α(R + λ(Q') - Q ) 公式的实现\n",
    "# class QL_environment():\n",
    "#     def __init__(self):\n",
    "#     def reset(self):\n",
    "#     def step(self, action):\n",
    "# class Q_learning():\n",
    "#     def __init__(self, n_state, actions):\n",
    "#     def choose_action(self, state, epsilon):\n",
    "#     def update_Q_table(self, state, action, reward, next_state):\n",
    "# tips:\n",
    "#     lambda:\n",
    "#     快速构建函数，当然我只用到了最基础的操作\n",
    "#     其他操作：\n",
    "#     1.多返回值：lambda a, b :(a+1, b+1)返回为一个元组(相当于单返回值)\n",
    "#     2.和map连用快速定义并返回：\n",
    "#         L = [1,2,3,4]\n",
    "#         list(map(lambda x: x**2, L))\n",
    "#         Out[1]: [1, 4, 9, 16]\n",
    "#     3.进行数据的挑选\n",
    "#         L = [1,2,3,4]\n",
    "#         list(filter(lambda x : x % 2 == 0, L))\n",
    "#         Out[2]: [2, 4]\n",
    "#     plot:\n",
    "#     画图时使用了from IPython.display import clear_output\n",
    "#     可以实时画图，虽然有点慢，但挺直观的可以实时更新"
   ]
  }
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